[Math Revolution GMAT math practice question]
Which of the following functions satisfies \(f(a+b)=f(a)f(b)\) for all positive numbers \(a, b\) ?
\(A. f(x)=x+1\)
\(B. f(x)=x^2+1\)
\(C. f(x)=\sqrt{x}\)
\(D. f(x)=\frac{1}{x}\)
\(E. f(x)=2^x\)![]()
Which of the following functions satisfies \(f(a+b)=f(a)f(b)\) for all positive numbers \(a, b\) ?
\(A. f(x)=x+1\)
\(B. f(x)=x^2+1\)
\(C. f(x)=\sqrt{x}\)
\(D. f(x)=\frac{1}{x}\)
\(E. f(x)=2^x\)